Holomorphic modular bootstrap revisited (Q2085342)

The holomorphic modular bootstrap is the classification of rational conformal field theories via an analysis of the modular differential equations satisfied by their characters (see [\textit{S. Mukhi}, ``Classification of RCFT from holomorphic modular bootstrap: a status report'', Preprint, \url{arXiv:1910.02973}]). This nice paper develops a new method which allows the classification to be done for allowed central charges \(c\) and weights \(h_i\), with any number of characters \(d\). This leads to a classification of consistent characters up to \(d=5\) whose modular differential equations are uniquely fixed in terms of \((c,h_i)\).